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Finding the Fourth Proportional to 204,477.30, 306,715.95 and 141,491.70

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Solution

The fourth proportional to 204,477.30, 306,715.95 and 141,491.70 is: 212,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,477.30 : 306,715.95 = 141,491.70 : x
  2. Step 2: Convert to fraction form
    204,477.30/306,715.95 = 141,491.70/x
  3. Step 3: Cross multiply
    204,477.30x = 306,715.95 × 141,491.70
  4. Step 4: Simplify right side
    204,477.30x = 43,397,761,182.62
  5. Step 5: Solve for x
    x = 43,397,761,182.62/204,477.30
  6. Step 6: Final answer
    x = 212,237.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.